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## Homework Statement

For what values of a and b is the line 3x+y=b tangent to the curve y=ax^3 when x=5 ?

## The Attempt at a Solution

I believe i would need to find the equation of the tangent to y=ax^3 when x=5 then that should be equal to -3x+b=y if im not mistaken but im not sure what to do from here to solve for a and b.

Any leads in the right direction or insight if this is the entirely wrong approach would be greatly appreciated!